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Finding the Fourth Proportional to 102,375.60, 153,563.40 and 66,946.20

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Solution

The fourth proportional to 102,375.60, 153,563.40 and 66,946.20 is: 100,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,375.60 : 153,563.40 = 66,946.20 : x
  2. Step 2: Convert to fraction form
    102,375.60/153,563.40 = 66,946.20/x
  3. Step 3: Cross multiply
    102,375.60x = 153,563.40 × 66,946.20
  4. Step 4: Simplify right side
    102,375.60x = 10,280,486,089.08
  5. Step 5: Solve for x
    x = 10,280,486,089.08/102,375.60
  6. Step 6: Final answer
    x = 100,419.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.